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Finding the Fourth Proportional to 403,118.20, 604,871.70 and 284,534.20

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Solution

The fourth proportional to 403,118.20, 604,871.70 and 284,534.20 is: 426,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,118.20 : 604,871.70 = 284,534.20 : x
  2. Step 2: Convert to fraction form
    403,118.20/604,871.70 = 284,534.20/x
  3. Step 3: Cross multiply
    403,118.20x = 604,871.70 × 284,534.20
  4. Step 4: Simplify right side
    403,118.20x = 172,106,685,262.14
  5. Step 5: Solve for x
    x = 172,106,685,262.14/403,118.20
  6. Step 6: Final answer
    x = 426,938.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.